A257482 Numbers m such that prime(m) mod 8 == prime(m) mod 27.

1, 2, 3, 4, 48, 84, 85, 119, 181, 211, 212, 213, 270, 296, 297, 326, 352, 353, 354, 378, 483, 484, 485, 513, 514, 539, 566, 591, 641, 665, 666, 691, 713, 739, 766, 790, 815, 816, 841, 864, 865, 890, 914, 936, 937, 960, 1007, 1029, 1054, 1055, 1076, 1077, 1104, 1105, 1151

Offset

1,2

Comments

Numbers n such that A039706(n)= A242125(n).

8 and 27 are first two cubes > 1.

Links

Ivan Neretin, Table of n, a(n) for n = 1..10000

Formula

a(n) = A000720(A257483(n)).

Example

prime(48) = 223 = 7 (mod 8) == 7 mod(27).

Mathematica

Select[Range@ 1000, Mod[Prime@ #, 8] == Mod[Prime@ #, 27] &] (* Michael De Vlieger, Apr 27 2015 *)

Prog

(Magma) [n: n in [1..1500] | NthPrime(n) mod 8 eq NthPrime(n) mod 27]; // Vincenzo Librandi, Apr 28 2015
(PARI) isok(n) = (prime(n) % 8) == (prime(n) % 27); \\ Michel Marcus, May 08 2017

Crossrefs

Cf. A000720, A039706, A242125.

Sequence in context: A230452 A270478 A235495 * A023167 A177380 A282034

Adjacent sequences: A257479 A257480 A257481 * A257483 A257484 A257485

Keyword

nonn

Author

Zak Seidov, Apr 26 2015

Extensions

More terms from Vincenzo Librandi, Apr 28 2015

Status

approved